The car's speed in kilometers per minute is 1.01667. And the number of kilometers will the car travel in 20 minutes will be 20.33 kilometers.
What is speed?Speed is defined as the length traveled by a particle or entity in an hour. It is a scale parameter. It is the ratio of length to duration.
We know that the speed formula
Speed = Distance/Time
A car is traveling at a speed of 61 kilometers per hour.
Convert the speed into a kilometer per minute. Then we have
Speed = 61 / 60
Speed = 1.01667 kilometers per minute
Then the number of kilometers will the car travel in 20 minutes will be given as,
1.01667 = d / 20
d = 1.01667 x 20
d = 20.33 kilometers
The car's speed in kilometers per minute is 1.01667. And the number of kilometers will the car travel in 20 minutes will be 20.33 kilometers.
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Last week, Alex took 90 selfies and Vic took 75 selfies. Today,
they each decided that some of these selfies were not very good
and deleted them. Alex deleted three times as many selfies
as Vic. Now, Alex has half as many selfies as Vic. How many
selfies did Alex delete?
Answer:
Alex deleted 37.5 selfies
Step-by-step explanation:
Let X be the number of selfies that Vic deleted.
Alex deleted 3X selfies.
After deleting selfies, Alex has 90-3X selfies left.
Vic has 75-X selfies left.
Since Alex has half as many selfies as Vic, we can set up the equation: 90-3X = (75-X)/2
Multiplying through the parentheses on the right side, we get: 90-3X = 75-X/2
Combining like terms, we get: 2X = 15
Dividing both sides by 2, we get: X = 7.5
Since X represents the number of selfies that Vic deleted, Vic deleted 7.5 selfies.
Since Alex deleted 3 times as many selfies as Vic, Alex deleted 37.5 = <<37.5=22.5>>22.5 selfies.
The number of selfies deleted by Alex is 51.
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that Alex took 90 selfies and Vic took 75 selfies. Today, they each decided that some of these selfies were not very good and deleted them. Alex deleted three times as many selfies as Vic. Now, Alex has half as many selfies as Vic.
Let Vic deleted x selfies and number of selfies deleted by Alex is 3x,
Therefore,
Since, Alex has half as many selfies as Vic, we can set up the equation: 90-3x = (75-x)/2
180 - 6x = 75 - x
5x = 105
x = 17
3x = 51
Hence, the number of selfies deleted by Alex is 51.
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7) Three-fifths of a hotel's rooms are occupied. An additional 23 rooms are reserved. A total of 127 rooms are being remodeled. How many total rooms are in the hotel?
Answer:
375
Step-by-step explanation:
- 150 rooms total unoccupied
- 3/5 occupied
this means that 150 rooms is 2/5 of the total, and 150 is 2/5 of 375, so 375 total
Answer:
375
Step-by-step explanation:
First of all, let's consider the following points;
●3/5 of the rooms are occupied
●23 rooms are being reserved
●127 rooms are being remodeled
The keyword is the 1st point.
If 3/5 is occupied, then that means 5/5 or 5 parts are the fraction of all the hotel rooms.
So,
127+23= 150 rooms
5/5 - 3/5 = 2/5
Now let's apply the direct proportion rule;
2/5= 150
1/5= 150÷2= 75
5/5 (total)= 75*5=375
If the whole fraction things make you confused, here's an easier way;
2 parts= 160
1 part= 150÷2=75
5 Parts = 75*5= 375
Hope it helps :-)!
Jacob shares 4 sandwiches equally on 3 plates. How many sandwiches will be on each plate?
Answer:
1 1/3
Step-by-step explanation:
Which exponential function has an initial value of 2?
Of(x) = 2(3)
Of(x) = 3(2)
X
-2
-1
TY
f(x)
18
f(x) =2(3ˣ) is an exponential function which has an initial value of 2.
What is an exponential function?Another word for "involving an exponent" in mathematics is exponential. For instance, an exponential rise in a number occurs when you raise it to the tenth power.
A mathematical function with the formula f(x) = aˣ is an exponential function. where an is a constant known as the function's base and x is a variable. The transcendental number e, or roughly 2.71828, is the exponential-function base that is most frequently seen. A variable is used as the exponent in exponential functions.
The exponential function that has an initial value of 2 is f(x) = 2ˣ.
f(x) = 2(3ˣ) can be written as f(x) = 2 × 3ˣ, so it starts at 2 × 3⁰ = 2 × 1 = 2.
f(x) = 3(2ˣ) can be written as f(x) = 3 × 2ˣ, so it starts at 3 × 2⁰ = 3 × 1 = 3
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The sides of a triangle are 68, 61, and 46. Use the Pythagorean Theorem to determine if the triangle is right, acute, or obtuse.
The triangle is an acute triangle using the Pythagorean theorem.
What is the Pythagorean theorem?Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We have,
The sides of a triangle are 68, 61, and 46.
Note:
When the sum of the squares of two sides of a triangle is equal to the square of the hypotenuse, the triangle is a right triangle.
When the sum of the squares of two sides of a triangle is less than the square of the hypotenuse, the triangle is an obtuse triangle.
When the sum of the squares of two sides of a triangle is greater than the square of the hypotenuse, the triangle is an acute triangle.
Now,
68² = 4624
46² = 2116
61² = 3721
We see that,
We can never have a right triangle or an obtuse triangle.
The possible combination.
61² + 68² > 46²
61² + 46² > 68²
68² + 46² > 61²
Thus,
The triangle is an acute triangle.
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Can some one help me with this question its hard :( down below ill give brainliest
Answer:
C. 1
Step-by-step explanation:
I got this right on my test
It takes a train of a certain length 15 seconds to pass under a sign, and it takes the same train 40 seconds to pass under a bridge that is 100 meters wide.What is the length (in meters) of the train
After solving, the length of the trains in meters is 60 meters.
In the given question, it takes a train of a certain length 15 seconds to pass under a sign, and it takes the same train 40 seconds to pass under a bridge that is 100 meters wide.
We have to find the length (in meters) of the train.
Let the length of the train is x.
The length of the bridge is 100 meters.
As we know that the formula of the speed is the ratio of distance that he traveled in the certain duration of time.
So Speed = Distance/Time
So according to the question;
(x + 100)/40 = x/15
Now solving the expression using the cross multiplication
15x + 1500 = 40x
Subtract 15x on both side, we get
25x = 1500
Divide by 25 on both side, we get
x = 60 meters
Hence, the length of the trains in meters is 60 meters.
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Evaluate each expression when a = -4 and b = 3.
Expression: 2a + 3b
Answer:
1
Step-by-step explanation:
2a +3b
let a=-4 and b=3
2(-4) +3(3)
Multiply
-8 +9
Add
1
Find the area of a circle with a radius 8 m
Answer:
area of circle=πr²22/7×825.14m²hope it helps.Answer:
area of circle = πr²
22/7×8
25.14m² is the answer of your question
hope it is helpful to you
Need Help! How would I complete this table?
The number of feet is dependent on the number of yards. The table is completed as shown in the attachment.
Dependent variable.A variable whose value can be determined only if another variable's value is known is called a dependent variable. Thus the value of the variable depends on another variable.
In the given question, the number of feet can be known when that of yards is multiplied by a multiplicative factor. The value of the factor can be determined as;
multiplicative factor = 15/ 5
= 3
So that feet is related to that of yards by this expression;
feet = multiplicative factor * yards
Thus,
when yards is 2, then;
feet = 3 * 2
= 6
when feet = 12
12 = 3 * yards
yards = 12/ 3
= 4
Thus the complete table is herewith attached to this answer for more clarifications.
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If 2x = 20, then x is
a. 5. b. 10. c. 20.
Answer:
B. 10
Step-by-step explanation:
To find the answer we would plug each given number into x to see if it makes the equation true
A. 2(5) = 20
10 [tex]\neq[/tex] 20
B. 2(10) = 20
20 = 20
C. 2(20) = 20
40 [tex]\neq[/tex]20
As you can see, the only answer that makes the equation 2x=20 true, is answer B
Find the volume and round to the nearest hundredths place when necessary.
Answer:
The top looks like a trapezoid and so does the bottom so it's a prism.
lets find the area of the base!
15(base 1) + 7(base2) = 22
22 x 5(height) = 110
110 divided by 2( x 1/2) = 55
Now we multiply by the actual height of the TOTAL prism which is 11.
55 x 11 = 605 cubic feet, is your answer.
Formula for AREA of a trapezoid:
B1(base 1) + B2(base 2) x H(height) x 1/2 (basically just dividing by 2)
AYUDAAA ES PARA HOY.!!
HELP ME IS FOR TODAY.!!
¿Cual es el factor de escala para ir de la figura A a la figura B?
What is the scale factor to go from figure A to figure B?
!POR FAVOR AYUDENME.!
PLEASE HELP ME.!
Answer:
I think the answer is 3:1. found it by counting the no. of boxes
Find the measure of ∠c.
Answer:
79
Step-by-step explanation:
3x +16 + 5x - 4 = 180
8x +12 = 180
8x = 180 -12
8x = 168
x=21
3*21+16= 79
pls help I need help on this!!
Answer:
where are the angles or image
Please Help !! (Geometry related question)
Answer:
i dont know the answer i just need points im sorry
Step-by-step explanation:
Melee has 1/8 of her candy bar left valid has 3/8 of his candy bar left if they put their candy together which fraction of candy bar do they have
Answer:
4/8
3/8 + 1/8 = 4/8
Solve the system of linear equations by substitution. Check your solution.
3
1. y = -2x + 4 and -x +3y = -9
2. 3 over 4x -5y = 7 and x= -4y +12
3. 5x - y= 4 and 2x + 2y = 16
4. 2x + 3y = 0 and 8x +9y = 18
The domain and scope of the identity function are the same. Equation for the identity function is f(x) = x, or y = x.
What is function?An statement, rule, or law in mathematics that specifies the connection between an independent variable and a dependent variable (the dependent variable). A relationship between a group of inputs and one output each is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. Y=X2 is an illustration of this. You only receive one output for y if you enter anything for x. The fact that x is the input value leads us to argue that y is a function of x.
identity function are the same.
Equation for the identity function is
f(x) = x, or y = x.
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Solving provided question, we can say that the given linear equation is y = -2x + 4 and -x -x +3(-2x + 4 ) + 9 = x = 7/3
What is a linear equation?A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept. When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.
the given linear equation is
y = -2x + 4 and -x +3y = -9
now,
-x +3(-2x + 4 ) + 9
-x - 6x - 12 +9 = 0
-7x = -3
x = 7/3
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Part of the population of 7,750 elk at a wildlife preserve is infected with a parasite. A random sample of 50 elk shows that 11 of them are infected. How many elk are likely to be infected?
Answer:
1,705 elk
Step-by-step explanation:
7,750 / 50 = 155 groups of elk
155 groups x 11 per group = 1,705 elk.
Find a value that
makes this inequality
true: 50 - 3x ≤ 20
50-3x<20
the answer is C. 11
what is the slope of the line
A certain movie is 105 minutes long. It started at 6:15 pm. During the movie, there were two commercial breaks, one lasting 9
minutes and one lasting 6 minutes. At what time did the movie finish?
Answer: 8:15pm
Step-by-step explanation:
9+6=15 +105 = 120, 120/60=2 hours (total duration), 6:15 + 1 hour = 7:15 + 1 hour = 8:15pm
What is tautology in math?
A statement which is known as tautology is a type of compound statement in whose result is always the truth value. We don't take in consideration the other individual values in consideration , the result in tautology is always true.
It is one of the most significant part in logical mathematics if we need to find the most accurate answers or findings among a given group of answers.
In mathematics, tautology is used so as to ensure that the results which is obtained are true and exact and not false . A tautology is a compound statement and it will always returns true value. The result in tautology is always true, regardless of what the constituent parts are.
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Select the correct answer. what is the height, x, of the equilateral triangle? an equilateral triangle with the angles labeled as 60 degrees and a side length of 8 inches, the height labeled as x
a. in.
b. in.
c. in.
d. in.
The height of the equilateral triangle when its side length is given as 8 inches is calculated to be 6.93 inches.
The equilateral triangle has all sides and angles equal. The angles are always equal to 60 degrees.
Given that,
Side length of the equilateral triangle = 8 inches
Angles = 60 degrees
Height = ?
Therefore, let us find the height of the triangle using the Pythagoras theorem,
c² = a² + b²
8² - 4² = b²
b² = 64 - 16
b² = 48
b = 6.93 inches
Thus, the height of the equilateral triangle is calculated to be 6.93 inches.
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Describe people’s opinions using different verbs. Write at least 5 sentences.
PLEASE HELP I POSTED FOR THE 7TH TIME NO ANSWER WILL GIVE BRAINLIEST
Answer:
A mi encantar el arte.
A mis padres interesar el traje.
A ti importar las botas.
A Emelio encantar los deportos.
A Nosotros interesar viajar.
HELP ME PLEASE AND QUICK IT'S DUE 12:00PM
c) The height of each cylinder in a set of food-storage containers is 30 cm.
The radius of the largest container is 10 cm.
The volume of the smallest container is one-third the volume of the largest container.
The volume of the middle-sized container is two-thirds the volume of the largest
container. What is the volume of each container?
Answer:
The volume of the largest cylinder is 3.14(10)^2(30) = 9424.78cm^3
The volume of the smallest cylinder is 3141.59cm^3
The volume of the medium cylinder is 6282.67 cm^3
Step-by-step explanation:
the equation for a cylinder's volume is pi(r)^2(height)
The volume of the largest cylinder is 3.14(10)^2(30) = 9424.78cm^3 (remember the units!)
The volume of t he smallest cylinder is 1/3 the largest or: 9424.78/3 = 3141.59cm^3 (remember the units!)
The volume of the medium cylinder is 2/3 the largest or 9424.78(2/3) = 6282.67 cm^3
HELP DUE IN 15 MINS!
x =??
Answer:
Step-by-step explanation:
x = 1/2 ( arc(SF) + arc(RQ))
ARC SF = 50
Arc RQ (the large one ) = 200
Large Arc RQ = 200
Arc SF = 50
x = 1/2 (50 + 200)
x = 1/2 250
x = 125
Rodney models the factorization of a trinomial with algebra tiles as shown.
An algebra tile configuration. 4 tiles are in the Factor 1 spot: 1 is labeled + x, 3 are labeled +. 4 tiles are in the Factor 2 spot: 1 is labeled + x and 4 are labeled negative. 14 tiles are in the Product spot: 1 is labeled + x squared and below it is a tile labeled negative x. To the right of negative x in 3 columns and 4 rows are 12 tiles labeled negative.
Rodney forgot to place x-tiles in zero pairs in the model of the trinomial. How many zero pairs of x-tiles should he place in the model?
Answer:
c.3 got a 100
Step-by-step explanation:
C
Step-by-step explanation:
JUST SAY THE LETTER IM BEING TIMED HURRRYYYY. MARKING BRAINIEST
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Como sacar el área de un círculo sabiendo que el radio mide 5 cm y en el centro del circulo se encuentra un rombo?
Answer:
78.57cm²
Step-by-step explanation:
English
We need to find the area of the circle.
The area of the circle is given by pie r². We know the value of pie and r is given . Putting the values
Area= pie r².
Area= 22/7* 5² = 22/7*25= 78.57cm²
We are not bothered by the area of the rhombus or the rhombus because we need to find the area of the circle.
Area of the rhombus is given by the product of the length of diagonals divided by 2. So if the rhombus lies at the center the length of each of its diagonal will be 10 cm. Because the length from the center of the circle to any point on the circle is equal to its radius. And the diagonal is formed by 2 radii.
Area of rhombus= 10*10/2= 50 cm²
Area of the circle excluding the area of the rhombus= 78.57- 50 = 28.57 cm²